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Finding the Fourth Proportional to 47.29, 65.27 and 46.03

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Solution

The fourth proportional to 47.29, 65.27 and 46.03 is: 63.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.29 : 65.27 = 46.03 : x
  2. Step 2: Convert to fraction form
    47.29/65.27 = 46.03/x
  3. Step 3: Cross multiply
    47.29x = 65.27 × 46.03
  4. Step 4: Simplify right side
    47.29x = 3,004.38
  5. Step 5: Solve for x
    x = 3,004.38/47.29
  6. Step 6: Final answer
    x = 63.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.